532823980416 has 768 divisors, whose sum is σ = 1894117478400. Its totient is φ = 131248373760.

The previous prime is 532823980393. The next prime is 532823980421. The reversal of 532823980416 is 614089328235.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 219901381 + ... + 219903803.

It is an arithmetic number, because the mean of its divisors is an integer number (2466298800).

Almost surely, 2^532823980416 is an apocalyptic number.

532823980416 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532823980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947058739200).

532823980416 is an abundant number, since it is smaller than the sum of its proper divisors (1361293497984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

532823980416 is a wasteful number, since it uses less digits than its factorization.

532823980416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 532823980416 in words is "five hundred thirty-two billion, eight hundred twenty-three million, nine hundred eighty thousand, four hundred sixteen".